A boy is launching a toy rocket he got for his birthday from the top of an 80 ft building. The function representing
the height is f(0) = -16x? +64x + 80 where x represents time in seconds.
How many seconds did it take the rocket to reach it's maximum height?
A
144 sec
B)
2 sec
Eliminate
1.5 sec
D)
128 sec
Answers
Answer:
2 seconds, assuming the "?" in the equation is supposed to be ^2 (the exponent of 2): f(h) = -16x^2 +64x + 80
Step-by-step explanation:
You can either graph the functuion or take the first derivative to find the maximum height. The first derivative will give us the slope for a values of x. The slope at the top height of the rocket is zero, since it has stopped and is starting it's way back down.
First Derivative:
f(x) = -16x^2 +64x + 80
f'(x) = -32x + 64
Set this equal to zero and solve for x
0 = -32x + 64
x = 2 seconds.
Use 2 seconds in the original equation to find the height at 2 seconds.
f(2) = -16x^2 +64x + 80
f(2) = -16(2)^2 +64*(2) + 80
f(2) = 144 feet
Graph:
A graph is attached. You can locate the maximum at (2,144)
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
x = 3
Step-by-step explanation:
x² + 15 = x² + 5x
15 = 5x
15 ÷ 5 = x
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And
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Answer:
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Step-by-step explanation:
You take the manufacturer’s price and add 15 percent, then subtract 70 percent of the used price from the retail price to get the answer.
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Answers
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Step-by-step explanation:
Let me know if this is right!
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Y= 132, X=32.6
Your visually impaired friend asked you to enlarge your notes from class so he can study. You took notes on 8.5-inch by 11-inch paper. The enlarged copy has a smaller side with a length of 10 inches. What is the scale factor of this dilation?
Find the scale factor.
Answers
Answer:FINDING A SCALE FACTOR Your visually impaired friend asked you to enlarge your notes from class so be can study. You took notes on 8.5-inch by 11-inch.
Step-by-step explanation:thank you
The scale factor is 20/17.
According to the question, you took notes on a paper with dimensions 8.5 inches × 11 inches.
the breadth of the paper is 8.5 inches
the length of the paper is 11 inches
Now, to make an enlarged copy, you used a paper that has its smaller side dimension of 10 inches.
Which means the breadth of the new paper is 10 inches.
So, if we calculate the ratio of the breadths we get the scale factor.
k = 10 / 8.5
k = 20/17 is the scale factor of dilation.
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Find the measure of the angle marked with a question mark using inverse trig
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x = 10/tan 63
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what is the slope of the line
Answers
Answer:
slope = 3/2
Step-by-step explanation:
Step 1: Select two points from the graph.
(3,0) and (1,-3) are two points on the graph.Step 2: Apply the formula to find slope- [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]\frac{-3-0}{1-3}[/tex] [tex]\frac{-3}{-2}[/tex] [tex]\frac{3}{2}[/tex]Therefore, the slope is 3/2.
How to convert minutes and seconds into grades.
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Answer:
Step-by-step explanation:
To convert time to time, kernel time with 24 (number of time in a day).
To convert time to minutes, kernel with time with 1440 (number of minutes in a day = 24 * 60).
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Answer:
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Step-by-step explanation:
This would have no slope
There is a proportional relationship between minutes and dollars per minute, shown on a graph of printing expenses. The graph passes through the point (1, 3.40). What is the slope of the graph? What is the unit rate? Complete the explanation.
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Answer:
Below!
Step-by-step explanation:
The slope is 1. The unit rate is $4.75/min If the graph of a proportional relationship passes through the point (1 , R) then r equals the slope and the unit rate. $4.75 per min.
The slope of the graph resembles the unit rate.
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The graph passes through the point (1, 3.40), which means it is at x = 1, the rate is $4.75.
What is the value of x in the equation ?
Answers
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
This is our equation
[tex]2.5\left(6x-4\right)=10+4\left(1.5+0.5x\right)[/tex]
First off we can distribute the 2.5 and the 4
Now our equation is [tex]15x-10=10+6+2x[/tex]
subtract [tex]2x[/tex] from both sides
[tex]13x-10=16[/tex]
add [tex]10[/tex] to both sides
[tex]13x=26[/tex]
Divide both sides by [tex]13[/tex]
[tex]x=2[/tex]
On the accompanying grid, draw and label quadrilateral ABCD with points A(1,2), B(6,1), C(7,6), and D(3,7). On the same set of axes, plot and label quadrilateral A′B′C ′D′, the reflection of quadrilateral ABCD in the y-axis. Determine the area, in square units, of quadrilateral A′B′C′D′.
Answers
Answer: Refer to figure 1 for the diagram needed.
A ' = (-1, 2)
B ' = (-6, 1)
C ' = (-7, 6)
D ' = (-3, 7)
Area = 24 square units
============================================================
Explanation:
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------------------
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~combination
[tex] \large \sf C(n,r) = \frac{n!}{(n-r)! .r!} [/tex]
[tex] \large \sf = C(9,3) = \frac{9!}{(9-3)!.3!} [/tex]
[tex] \large \sf = \frac{9!}{6!.3!} [/tex]
[tex] \large \sf= \frac{(9.8.7.6.5.4.3.2.1)}{(6.5.4.3.2.1).(3.2.1)} [/tex]
[tex] \large \sf = \frac{362880}{720.6} [/tex]
[tex] \large \sf = \frac{362880}{4320} [/tex]
[tex] \large \sf = \boxed{84}\: ✓[/tex]
~ nice to help you ^^
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answer? and how would I answer this.
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Answer:
x = -6
Step-by-step explanation:
Combine like terms.
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Follow Me:-
[tex]3x + 4 + 2x + 2 = - 24 \\ \\ = > 5x + 6 = - 24 \\ \\ = > 5x = - 24 - 6 \\ \\ = > 5x = - 30 \\ \\ = > x = \cancel \frac{ - 30}{5} \\ \\ = > x = - 6[/tex]
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Answer:
D) the bridge is about 381.16 ft. above the river, and the length of the bridge above the arch is 1,792.58 ft
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Answer:
3/200
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Answer:The last option is correct.
Step-by-step explanation:
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Answer:
The student is correct.
Step-by-step explanation:
Given that 5x² = 20:
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Answers
Answer:
y = (1/8)x
Step-by-step explanation:
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Answers
Answer:
m=14+10.50h
Step-by-step explanation:
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Answers
Answer:
y=5x+200
Step-by-step explanation:
x=number of handbags
y-intercept=200
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please give me brainly since I'm trying to level up!
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Answers
12 min is .2 hours
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Step-by-step explanation:
7×4-=28-×3×9=27×28-=756-
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Answer:
Step-by-step explanation:
The product of a number, n, and 0.4 is 8:
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Answers
Answer:
20 cupcakes
15 cookies
Step-by-step explanation:
20*$1.75=$35
15*$0.75=$14.25
$35+$14.25=$49.25
Answer:
23 cupcakes and 12 cookies
Step-by-step explanation:
David was thinking of a number. David doubles it, then adds 3 to get an answer of 81. 6. What was the original number?.
Answers
Answer:
The answer is 39.3
Step-by-step explanation:
81.6 - 3 = 78.6
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